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Finding the Fourth Proportional to 412,163.12, 618,286.56 and 142,256.12

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Solution

The fourth proportional to 412,163.12, 618,286.56 and 142,256.12 is: 213,398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,163.12 : 618,286.56 = 142,256.12 : x
  2. Step 2: Convert to fraction form
    412,163.12/618,286.56 = 142,256.12/x
  3. Step 3: Cross multiply
    412,163.12x = 618,286.56 × 142,256.12
  4. Step 4: Simplify right side
    412,163.12x = 87,955,047,073.75
  5. Step 5: Solve for x
    x = 87,955,047,073.75/412,163.12
  6. Step 6: Final answer
    x = 213,398.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.